Sammies fencing company make prefabricated fence units in 6

Sammies fencing company make prefabricated fence units in 6\', 8\', 10\', and 12 foot length. What combinations could be used to make exactly 30 feet of a straight fence?

Solution

Following combinations can be possible for a straight 30 feet fence.

1.) 6 + 6 + 6 + 6 + 6 = 30 ; (6,6,6,6,6)

2.) 6 + 8 + 8 + 8 = 30 ; (6,8,8,8)

3.) 6 + 6 + 8 + 10 = 30 ; (6,6,8,10)

4.) 10 + 10 + 10 = 30 ; (10,10,10)

5.) 6 + 6 + 6 + 12 = 30 ; (6,6,6,12)

6.) 8 + 10 + 12 = 30 ; (8,10,12)

7.) 6 + 12 + 12 = 30 ; (6,12,12)

And permutations there of.